To calculate h evaluate inside the square root before taking the square root
h = √(7² - 3.5²) = √(49 - 12.25) = √36.75 = 6.06 ( to 2 dec. places)
Answer:
The number of children's tickets sold was 31 and the number of adult tickets sold was 2
Step-by-step explanation:
Let
x ---> the number of children's tickets sold
y ---> the number of adult tickets sold
we know that
the theater sold 33 tickets
so
-----> equation A
the theater made a total of $158.50
so
----> equation B
Solve the system by graphing
Remember that the solution of the system is the intersection point both graphs
using a graphing tool
The solution is the point (31,2)
see the attached figure
therefore
The number of children's tickets sold was 31 and the number of adult tickets sold was 2
Hi there.
A triangle's interior angles must always add up to 180 degrees. Since we already have one measurement, 56, we can set up an equation to solve for the missing angles.
(2x + 4) + 56 + x= 180; solve for x.
Subtract 56 from both sides.
(2x + 4) + x = 124;
Combine like-terms (x).
3x + 4 = 124;
Subtract 4 from both sides.
3x = 120
Divide both sides by 3 to solve for x.
x = 40.
Now, we need to substitute x with 40 in each of our angles to determine their measurements.
2x + 4; x = 40.
2(40) + 4 = 80 + 4 = 84;
One measurement is 84 degrees.
x = 40 is another measurement on its own.
Our measurements are:
56, 84, and 40.
Your corresponding answer choice is H.) 56, 84, 40.
I hope this helps!
Answer:
Slope is m= -1
Step-by-step explanation:
Use the slope formula to find the slope m
.
y=mx+b